Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, G

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample579.0ms (13%)

Memory

-1.3MiB live, 748.6MiB allocated

Samples

285.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-div: 71.0ms (57.4% of total)

ival-sub: 37.0ms (29.9% of total)

exact: 7.0ms (5.7% of total)

ival-true: 5.0ms (4% of total)

ival-assert: 3.0ms (2.4% of total)

Bogosity

explain122.0ms (2.8%)

Memory

17.9MiB live, 92.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

93.0ms

512×

valid

Compiler

Compiled 32 to 19 computations (40.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 4.0ms (52.8% of total)

ival-sub: 2.0ms (26.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

preprocess21.0ms (0.5%)

Memory

-17.1MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Rules

16×	`distribute-lft-neg-in`
14×	`sub-neg`
12×	`cancel-sign-sub-inv`
10×	`associate--r+`
10×	`distribute-neg-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	18	9
2	39	6
3	63	6
4	96	6
5	104	6
6	106	6
0	5	3
0	8	3
1	13	3
2	14	3
0	14	3

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify4.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
cost-diff	704	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))

Rules

4×	`lower-+.f64`
4×	`lower-+.f32`
2×	`lift-/.f64`
2×	`1-exp`
2×	`lift--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	13	7
2	14	7
0	14	7

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)

Outputs
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(+.f64 x #s(literal -1/3 binary64))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)

localize148.0ms (3.3%)

Memory

-22.4MiB live, 26.0MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
accuracy	0.01171875	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Samples

142.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 136.0ms

ival-div: 134.0ms (98.7% of total)

ival-sub: 1.0ms (0.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Counts

2 → 12

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())

Inputs

#s(alt (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) (patch (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)) #<representation binary64>) () ())

#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) (patch (-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- x (/ 1 3))
0.0ms	x	@	-inf	(- x (/ 1 3))
0.0ms	x	@	0	(- x (/ 1 3))

simplify16.0ms (0.4%)

Memory

13.1MiB live, 13.1MiB allocated

Algorithm

1×	egg-herbie

Rules

192×	`lower-fma.f64`
192×	`lower-fma.f32`
144×	`lower-*.f64`
144×	`lower-*.f32`
96×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 10

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))

rewrite364.0ms (8.2%)

Memory

13.6MiB live, 437.1MiB allocated

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
4 474×	`lower-*.f64`
4 474×	`lower-*.f32`
3 944×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

2 → 313

Calls

Call 1

Inputs
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Outputs
#s(literal 1/3 binary64)
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) (.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(+.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 1/3 binary64) x)))
(+.f64 (*.f64 #s(literal 1 binary64) x) #s(literal -1/3 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (.f64 x (.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 x x)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal -1/9 binary64)) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (.f64 x (.f64 x (.f64 x x)))) (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (*.f64 x x))))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))))) (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (.f64 x (.f64 x (*.f64 x x)))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x #s(literal -1/3 binary64) #s(literal -1/9 binary64))))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (.f64 x x)) (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (.f64 x #s(literal -1/3 binary64)))) (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (.f64 x x)))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 x x) (+.f64 #s(literal 1/3 binary64) x)) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
(+.f64 (.f64 (.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (*.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))))
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(.f64 (.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 x x #s(literal 1/9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/19683 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 x x) #s(literal 1/729 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))))
(.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (*.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/19683 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 x x) #s(literal 1/729 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/3 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (+.f64 #s(literal 1/3 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/19683 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/19683 binary64)) (.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 x (.f64 x (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/9 binary64) (.f64 x (+.f64 #s(literal 1/3 binary64) x)))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -1/81 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))) #s(literal -1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (.f64 (.f64 x x) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))))) (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) x (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (.f64 x (.f64 x (.f64 x x)))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (.f64 (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64))))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal -1/9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)))) (+.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) #s(literal -1/19683 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) (fma.f64 (.f64 #s(literal 1/27 binary64) x) (*.f64 x x) #s(literal 1/729 binary64)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (*.f64 #s(literal 1/9 binary64) x) #s(literal 1/81 binary64)))))
(.f64 (.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))))

eval61.0ms (1.4%)

Memory: -4.7MiB live, 98.7MiB allocated
Compiler: Compiled 10 409 to 761 computations (92.7% saved)

prune48.0ms (1.1%)

Memory

-34.6MiB live, 124.1MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	319	4	323
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	4	324

Accuracy

100.0%

Counts

324 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.9%	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
▶	79.2%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
▶	100.0%	(-.f64 x #s(literal 1/3 binary64))
▶	52.7%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify85.0ms (1.9%)

Memory

19.8MiB live, 96.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
cost-diff	0	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
cost-diff	0	(-.f64 #s(literal -1/3 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
cost-diff	128	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
cost-diff	0	(-.f64 x #s(literal 1/3 binary64))
cost-diff	0	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Rules

1 128×	`lower-fma.f32`
1 124×	`lower-fma.f64`
632×	`lower-*.f32`
630×	`lower-*.f64`
362×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	69
0	29	67
1	52	67
2	74	67
3	102	67
4	145	67
5	230	67
6	533	67
7	898	67
8	1020	67
9	1296	67
10	1537	67
11	1809	67
12	1896	67
13	1955	67
14	2167	67
15	2167	67
0	2167	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
#s(literal 1/9 binary64)
(*.f64 x x)
x
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(-.f64 x #s(literal 1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
x
#s(literal 1/3 binary64)
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal 1/3 binary64)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
#s(literal 1/9 binary64)
(*.f64 x x)
x
(-.f64 #s(literal -1/3 binary64) x)
#s(literal -1/3 binary64)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
x
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize73.0ms (1.6%)

Memory

10.0MiB live, 126.8MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 #s(literal 1/3 binary64) x)
accuracy	0.0234375	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
accuracy	0.0546875	(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
accuracy	20.736501367421635	(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
accuracy	0.01171875	(-.f64 #s(literal -1/3 binary64) x)
accuracy	13.321600882309813	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
accuracy	0.01171875	(-.f64 x #s(literal 1/3 binary64))
accuracy	30.281481057073282	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Samples

55.0ms

256×

valid

Compiler

Compiled 75 to 22 computations (70.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

const: 15.0ms (38.3% of total)

ival-div: 9.0ms (23% of total)

ival-add: 5.0ms (12.8% of total)

ival-mult: 5.0ms (12.8% of total)

ival-sub: 4.0ms (10.2% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory

-22.9MiB live, 15.1MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) (patch #s(approx (- x (/ 1 3)) #s(literal -1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1/3 binary64)) (patch (-.f64 x #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) (patch (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal -1/3 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (patch (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (- (* -1 x) 1/3) (taylor 0 x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ 1 (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (-.f64 #s(literal -1/3 binary64) x) (patch (-.f64 #s(literal -1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/27 (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (patch (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
1.0ms	x	@	0	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
1.0ms	x	@	0	(/ (- 1/9 (* x x)) (- -1/3 x))
1.0ms	x	@	inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	inf	(/ (- 1/9 (* x x)) (- -1/3 x))

simplify182.0ms (4.1%)

Memory

27.2MiB live, 181.1MiB allocated

Algorithm

1×	egg-herbie

Rules

6 748×	`lower-fma.f64`
6 748×	`lower-fma.f32`
2 536×	`lower-*.f64`
2 536×	`lower-*.f32`
1 554×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	414
1	132	405
2	349	388
3	1017	388
4	2773	388
5	6006	388
0	8135	381

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 110

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
1/9
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
(+ 1/9 (* -1 (pow x 2)))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* -1 (pow x 2))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/3
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(- (* -1 x) 1/3)
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(+ 1/9 (* -1 (pow x 2)))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* -1 (pow x 2))
(neg.f64 (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/9 (/ 1 (pow x 2))) 1))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/3
#s(literal -1/3 binary64)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(- (* -1 x) 1/3)
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
(* -1 (* x (+ 1 (* 1/3 (/ 1 x)))))
(-.f64 #s(literal -1/3 binary64) x)
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))

rewrite319.0ms (7.2%)

Memory

-7.2MiB live, 508.2MiB allocated

Rules

7 286×	`lower-fma.f32`
7 282×	`lower-fma.f64`
4 858×	`lower-*.f32`
4 856×	`lower-*.f64`
4 146×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	56
0	29	39
1	130	39
2	959	39
0	8712	39

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

10 → 1 299

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 #s(literal 1/9 binary64) (*.f64 x x))
(*.f64 x x)
(-.f64 #s(literal -1/3 binary64) x)
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)

Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(+.f64 x #s(literal -1/3 binary64))
(+.f64 #s(literal -1/3 binary64) x)
(+.f64 #s(literal -1/3 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))))
(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 #s(literal 1 binary64) (/.f64 (.f64 x x) (+.f64 x #s(literal 1/3 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (neg.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (*.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (*.f64 x (neg.f64 x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) (.f64 x (neg.f64 x))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1/9 binary64)))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 x (.f64 x x))))
(+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (.f64 x (.f64 x x))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #s(literal -1/27 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)) (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (*.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (.f64 x (+.f64 x #s(literal -1/3 binary64)))) (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64))) #s(literal 1/9 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (fma.f64 x x #s(literal 1/9 binary64))) (.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64))) (*.f64 x #s(literal -1/3 binary64))))
(+.f64 (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal 1/3 binary64)) (.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 x)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (-.f64 #s(literal 1/81 binary64) (.f64 x (*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))) (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -1/3 binary64))
(+.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) #s(literal 1 binary64)) (.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1/27 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (.f64 x (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 (.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)))) (.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)))) (.f64 #s(literal 1/9 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (.f64 (fma.f64 x x #s(literal 1/9 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)))) (.f64 (.f64 x #s(literal -1/3 binary64)) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)))))
(+.f64 (.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64)))) (.f64 (neg.f64 x) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64)))))
(+.f64 (.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))) (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))) (.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64)))) #s(literal -1 binary64)))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 #s(literal -1/3 binary64) (neg.f64 x))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1/3 binary64) x))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal -1/3 binary64) x)))
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(.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
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(+.f64 x #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 #s(literal 1/3 binary64) (*.f64 (neg.f64 x) #s(literal -1 binary64)))
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(+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
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(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 x #s(literal -1/3 binary64))
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(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (+.f64 x #s(literal -1/3 binary64))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal -1/27 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 x #s(literal -1/3 binary64))) (-.f64 #s(literal -1/3 binary64) x))
(-.f64 (/.f64 #s(literal -1/27 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (/.f64 (.f64 x (.f64 x x)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 1/729 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 (/.f64 #s(literal 1/81 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (/.f64 (.f64 (.f64 x x) (*.f64 x x)) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 (/.f64 #s(literal 1/729 binary64) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))))
(-.f64 (/.f64 #s(literal 1/81 binary64) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))) (/.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))))
(fma.f64 #s(literal 1 binary64) x #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1/3 binary64))))
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(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 1/3 binary64))
(fma.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal 1/3 binary64))
(neg.f64 (-.f64 #s(literal -1/3 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (*.f64 x x))))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (neg.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (neg.f64 (.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (neg.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x))))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x (*.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))))
(/.f64 (+.f64 #s(literal -1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1/3 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal -1/3 binary64) x) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal -1/3 binary64) x) (-.f64 #s(literal -1/3 binary64) x))) (+.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/3 binary64) x)))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(*.f64 (+.f64 x #s(literal 1/3 binary64)) #s(literal 1 binary64))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(.f64 (fma.f64 x (-.f64 #s(literal -1/3 binary64) x) #s(literal -1/9 binary64)) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))))
(.f64 (-.f64 #s(literal -1/27 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (-.f64 #s(literal -1/27 binary64) (.f64 x (*.f64 x x))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64)))))
(.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 x x) (.f64 (.f64 x x) (.f64 x x)))) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (fma.f64 x x #s(literal 1/9 binary64))) #s(literal 1/81 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64)))))
(.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x x) (.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))))
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1/3 binary64) x))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -1/9 binary64))) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/3 binary64) x))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (fma.f64 x x #s(literal -1/9 binary64)))) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) #s(literal 1/729 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (+.f64 (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal 1/81 binary64)) (.f64 #s(literal 1/9 binary64) (*.f64 x (-.f64 #s(literal -1/3 binary64) x))))))
(.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))) #s(literal -1/81 binary64)))) (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))

eval320.0ms (7.2%)

Memory: 27.4MiB live, 301.7MiB allocated
Compiler: Compiled 40 228 to 1 975 computations (95.1% saved)

prune169.0ms (3.8%)

Memory

-25.6MiB live, 212.5MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	1 433	1	1 434
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	1 434	4	1 438

Accuracy

100.0%

Counts

1 438 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
▶	53.1%	(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	52.7%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 27 to 19 computations (29.6% saved)

simplify6.0ms (0.1%)

Memory

10.4MiB live, 10.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 #s(literal 1/3 binary64) x)
cost-diff	0	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
cost-diff	0	#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))

Rules

32×	`lower-+.f32`
30×	`lower-+.f64`
26×	`lower-fma.f32`
24×	`lower-fma.f64`
14×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
0	15	34
1	26	34
2	35	34
3	41	34
0	41	34

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
x
(+.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

Outputs
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize44.0ms (1%)

Memory

13.9MiB live, 51.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(+.f64 #s(literal 1/3 binary64) x)
accuracy	0.0234375	(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
accuracy	20.736501367421635	(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
accuracy	30.088903340183773	#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))

Samples

34.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 8.0ms (42.8% of total)

ival-mult: 5.0ms (26.7% of total)

ival-add: 4.0ms (21.4% of total)

ival-div: 2.0ms (10.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/27 (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) (patch (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 #s(literal 1/3 binary64) x) (patch (+.f64 #s(literal 1/3 binary64) x) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	-inf	(+ (* x (* x x)) -1/27)
0.0ms	x	@	inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	-inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	inf	(+ (* x (* x x)) -1/27)

simplify150.0ms (3.4%)

Memory

11.4MiB live, 164.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 890×	`lower-fma.f64`
4 890×	`lower-fma.f32`
2 784×	`lower-*.f64`
2 784×	`lower-*.f32`
1 584×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	184
1	109	184
2	283	176
3	829	176
4	2387	176
5	5486	176
0	8128	169

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))

rewrite267.0ms (6%)

Memory

-32.4MiB live, 411.6MiB allocated

Rules

5 268×	`lower-fma.f32`
5 266×	`lower-fma.f64`
4 586×	`lower-*.f64`
4 586×	`lower-*.f32`
2 542×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
0	15	30
1	73	30
2	510	30
3	5252	30
0	8796	30

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 254

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
(fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/3 binary64) x)

Outputs
(+.f64 (.f64 (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64)))))) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))))
(+.f64 (.f64 (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(+.f64 (.f64 (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64)))) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(+.f64 (.f64 (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(+.f64 (.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))) (.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))))
(+.f64 (.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(+.f64 (.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1/9 binary64) (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 #s(literal -1/9 binary64) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(fma.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))))
(fma.f64 (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))))
(fma.f64 (.f64 x #s(literal 1/3 binary64)) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))))
(fma.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (.f64 x (+.f64 x #s(literal 1/3 binary64))))) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))))
(fma.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 x (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(fma.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1/9 binary64)))
(fma.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (.f64 x #s(literal 1/3 binary64)) (.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (fma.f64 x x #s(literal -1/9 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64))))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)))))
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))) (-.f64 #s(literal -1/9 binary64) (*.f64 x (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(/.f64 (.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 (+.f64 x #s(literal 1/3 binary64)) (*.f64 (+.f64 x #s(literal 1/3 binary64)) (+.f64 x #s(literal 1/3 binary64))))) #s(literal 1/729 binary64)))
(/.f64 (.f64 #s(approx (+ ( x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal 1/3 binary64))) (.f64 x (+.f64 x #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1/3 binary64))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (+.f64 x #s(literal 1/3 binary64)) (neg.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (-.f64 #s(literal 1/3 binary64) x)))
(neg.f64 (/.f64 (-.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64))))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal 1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (-.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x))) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/19683 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64))))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/19683 binary64)) (.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/27 binary64))) #s(literal 1/729 binary64)))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (+.f64 x #s(literal -1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x (.f64 x x)))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (fma.f64 x x #s(literal 1/9 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (-.f64 #s(literal 1/3 binary64) x) (.f64 x x))) (.f64 (-.f64 #s(literal 1/3 binary64) x) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 x (*.f64 x x))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (*.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/19683 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (*.f64 x #s(literal -1/27 binary64))) #s(literal 1/729 binary64))) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x (.f64 x x)))) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1/9 binary64)) (-.f64 #s(literal 1/3 binary64) x)))
(/.f64 (.f64 (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)) #s(literal 1 binary64)) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) #s(literal 1 binary64)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (neg.f64 (-.f64 #s(literal -1/27 binary64) (.f64 x (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1/9 binary64))) (neg.f64 (+.f64 x #s(literal -1/3 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (.f64 (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x))) (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) (fma.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (fma.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x))) (.f64 (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))) (+.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)) #s(literal -1/729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x x) #s(literal -1/27 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 (.f64 x (.f64 x x)) (-.f64 (.f64 x (.f64 x x)) #s(literal 1/27 binary64)) #s(literal 1/729 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x (.f64 x x)))) #s(literal 1/19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))) (fma.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))) (fma.f64 x (.f64 x (.f64 x #s(literal -1/27 binary64))) #s(literal 1/729 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1/729 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x))) (fma.f64 x x #s(literal 1/9 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (+.f64 x #s(literal -1/3 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))))
(.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)))
(.f64 (neg.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 1/3 binary64) x))))
(.f64 (-.f64 #s(literal -1/27 binary64) (.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 x #s(literal -1/3 binary64)) #s(literal 1/9 binary64))) (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) x)) (-.f64 #s(literal 1/9 binary64) (.f64 x x)))
(*.f64 (fma.f64 x x #s(literal -1/9 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1/3 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal 1/9 binary64) (*.f64 x x))) (+.f64 x #s(literal 1/3 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 x (+.f64 x #s(literal -1/3 binary64)))) #s(literal 1/729 binary64))) (fma.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (-.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) #s(literal 1/9 binary64)) #s(literal 1/81 binary64)))
(.f64 (/.f64 (fma.f64 x (.f64 x x) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 x (+.f64 x #s(literal -1/3 binary64))) (.f64 x (+.f64 x #s(literal -1/3 binary64)))))) (-.f64 #s(literal 1/9 binary64) (.f64 x (+.f64 x #s(literal -1/3 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1/9 binary64) (.f64 x x)) (-.f64 #s(literal 1/27 binary64) (.f64 x (.f64 x x)))) (fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))

eval37.0ms (0.8%)

Memory: 22.5MiB live, 97.0MiB allocated
Compiler: Compiled 8 188 to 856 computations (89.5% saved)

prune72.0ms (1.6%)

Memory

7.4MiB live, 85.9MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	297	1	298
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	298	4	302

Accuracy

100.0%

Counts

302 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
▶	52.5%	(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	52.7%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify5.0ms (0.1%)

Memory

11.4MiB live, 11.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ 1/3 x) #s(literal 1/3 binary64))
cost-diff	0	(fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
cost-diff	0	#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
cost-diff	0	(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))

Rules

12×	`lower-+.f64`
12×	`lower-+.f32`
10×	`lower-*.f64`
10×	`lower-*.f32`
8×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
0	15	40
1	22	40
0	22	40

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (+ 1/3 x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

Outputs
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (+ 1/3 x) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)

localize42.0ms (1%)

Memory

11.6MiB live, 83.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0234375	(fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
accuracy	20.736501367421635	(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
accuracy	30.088903340183773	#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
accuracy	30.21684105333968	#s(approx (+ 1/3 x) #s(literal 1/3 binary64))

Samples

32.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

const: 8.0ms (42.9% of total)

ival-mult: 5.0ms (26.8% of total)

ival-add: 3.0ms (16.1% of total)

ival-div: 2.0ms (10.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series27.0ms (0.6%)

Memory

-49.4MiB live, 5.6MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (- x 1/3) (taylor 0 x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 1/3 (/ 1 x)) 1))) (taylor -inf x) (#s(alt (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (patch (/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/27 (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 3) 1/27) (taylor 0 x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3))))) (taylor inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1))) (taylor -inf x) (#s(alt #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (patch #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/9 (taylor 0 x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* 1/3 x)) (taylor 0 x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/9 (* x (+ 1/3 x))) (taylor 0 x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) (patch (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 x) (taylor 0 x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1 (* 1/3 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (patch #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #<representation binary64>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
22.0ms	x	@	inf	(+ (* x (* x x)) -1/27)
0.0ms	x	@	-inf	(+ (* x (* x x)) -1/27)
0.0ms	x	@	0	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))
0.0ms	x	@	-inf	(/ (+ (* x (* x x)) -1/27) (+ (* x (+ 1/3 x)) 1/9))

simplify143.0ms (3.2%)

Memory

34.8MiB live, 261.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 890×	`lower-fma.f64`
4 890×	`lower-fma.f32`
2 784×	`lower-*.f64`
2 784×	`lower-*.f32`
1 584×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	184
1	109	184
2	283	176
3	829	176
4	2387	176
5	5486	176
0	8128	169

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 44

Calls

Call 1

Inputs
-1/3
(- x 1/3)
(- x 1/3)
(- x 1/3)
x
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
(* x (- 1 (* 1/3 (/ 1 x))))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
-1/27
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(- (pow x 3) 1/27)
(pow x 3)
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(pow x 3)
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
1/9
(+ 1/9 (* 1/3 x))
(+ 1/9 (* x (+ 1/3 x)))
(+ 1/9 (* x (+ 1/3 x)))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(pow x 2)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
1/3
(+ 1/3 x)
(+ 1/3 x)
(+ 1/3 x)
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))
(* x (+ 1 (* 1/3 (/ 1 x))))

Outputs
-1/3
#s(literal -1/3 binary64)
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
(- x 1/3)
(+.f64 x #s(literal -1/3 binary64))
x
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
(* x (- 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal -1/3 binary64))
x
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
(* -1 (* x (- (* 1/3 (/ 1 x)) 1)))
(+.f64 x #s(literal -1/3 binary64))
-1/27
#s(literal -1/27 binary64)
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(- (pow x 3) 1/27)
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
(* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))
(fma.f64 x (*.f64 x x) #s(literal -1/27 binary64))
1/9
#s(literal 1/9 binary64)
(+ 1/9 (* 1/3 x))
(fma.f64 x #s(literal 1/3 binary64) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(+ 1/9 (* x (+ 1/3 x)))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* 1/3 (/ 1 x))))
(*.f64 x (+.f64 x #s(literal 1/3 binary64)))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(* (pow x 2) (+ 1 (+ (/ 1/9 (pow x 2)) (* 1/3 (/ 1 x)))))
(fma.f64 x (+.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
(+ 1/3 x)
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
x
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))
(* x (+ 1 (* 1/3 (/ 1 x))))
(+.f64 x #s(literal 1/3 binary64))

rewrite475.0ms (10.7%)

Memory

6.7MiB live, 321.9MiB allocated

Rules

4 922×	`lower-fma.f32`
4 920×	`lower-fma.f64`
4 510×	`lower-*.f64`
4 510×	`lower-*.f32`
2 444×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
0	15	36
1	70	36
2	455	36
3	3942	36
0	8214	36

Stop Event

1×	iter limit
1×	node limit
1×	iter limit

Counts

4 → 190

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64))
(fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
#s(approx (+ 1/3 x) #s(literal 1/3 binary64))

Outputs
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)) (fma.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64))) (.f64 (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))))))))) (fma.f64 x (.f64 (.f64 x (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (-.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/9 binary64) #s(literal 1/81 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) #s(literal 1/729 binary64)) (.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (+.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (.f64 #s(literal 1/9 binary64) (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))))))) (+.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (.f64 #s(literal 1/9 binary64) (*.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/81 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) #s(literal -1/729 binary64))) (fma.f64 x (.f64 x (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) (fma.f64 x (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal 1/81 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (*.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (*.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) #s(literal 1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (*.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/81 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (neg.f64 x) #s(literal 1/9 binary64))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) (neg.f64 (.f64 x (.f64 x x))) #s(literal -1/729 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (*.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal -1/81 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (neg.f64 x) #s(literal 1/9 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (.f64 (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))))))) #s(literal 1/387420489 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) #s(literal 1/531441 binary64)) (.f64 (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal 1/729 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) #s(literal 1/81 binary64)) (fma.f64 (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) #s(literal -1/531441 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))) #s(literal -1/729 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/81 binary64) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/9 binary64) (*.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) #s(literal -1/531441 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal 1/81 binary64)) #s(literal 1/6561 binary64)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal -1/9 binary64)) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (.f64 #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) (.f64 x (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)))))) #s(literal -1/6561 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) (*.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64))) #s(literal 1/81 binary64))))
#s(approx (+ 1/3 x) #s(literal 1/3 binary64))

eval225.0ms (5.1%)

Memory: -252.8MiB live, 57.4MiB allocated
Compiler: Compiled 6 107 to 558 computations (90.9% saved)

prune38.0ms (0.9%)

Memory

21.8MiB live, 64.6MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	234	4	238

Accuracy

100.0%

Counts

238 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	79.2%	(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
✓	52.5%	(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal 1/3 binary64))
✓	52.7%	#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Compiler

Compiled 76 to 39 computations (48.7% saved)

regimes8.0ms (0.2%)

Memory

-24.4MiB live, 13.1MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))
(-.f64 x #s(literal 1/3 binary64))
(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x #s(approx (+ 1/3 x) #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(approx (+ (* x (* x x)) -1/27) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal -1/3 binary64) x))
(/.f64 (fma.f64 x (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 x (+.f64 #s(literal 1/3 binary64) x) #s(literal 1/9 binary64)))

Outputs
(-.f64 x #s(literal 1/3 binary64))

Calls

2 calls:

5.0ms	x
2.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

regimes3.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Outputs
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Calls

2 calls:

1.0ms	(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
1.0ms	x

Results

Accuracy	Segments	Branch
52.7%	1	`x`
52.7%	1	`(-.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`

Compiler

Compiled 8 to 6 computations (25% saved)

simplify7.0ms (0.2%)

Memory

19.9MiB live, 19.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`*-commutative_binary64`
2×	`1-exp_binary64`
2×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	8
1	14	8
2	18	8
3	20	8
4	21	8

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

Outputs
(-.f64 x #s(literal 1/3 binary64))
#s(approx (- x (/ 1 3)) #s(literal -1/3 binary64))

soundness343.0ms (7.7%)

Memory

-17.4MiB live, 134.0MiB allocated

Rules

6 912×	`lower-fma.f64`
6 912×	`lower-fma.f32`
4 474×	`lower-*.f64`
4 474×	`lower-*.f32`
3 944×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	30
1	32	30
2	75	30
3	158	30
4	412	30
5	523	30
6	576	30
7	599	30
8	601	30
0	601	30
0	5	4
0	8	4
1	27	4
2	129	4
3	979	4
0	8557	4

Stop Event

1×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	saturated

Compiler

Compiled 17 to 13 computations (23.5% saved)

preprocess21.0ms (0.5%)

Memory: 25.4MiB live, 61.8MiB allocated
Compiler: Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample579.0ms (13%)

explain122.0ms (2.8%)

preprocess21.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize148.0ms (3.3%)

series1.0ms (0%)

simplify16.0ms (0.4%)

rewrite364.0ms (8.2%)

eval61.0ms (1.4%)

prune48.0ms (1.1%)

simplify85.0ms (1.9%)

localize73.0ms (1.6%)

series10.0ms (0.2%)

simplify182.0ms (4.1%)

rewrite319.0ms (7.2%)

eval320.0ms (7.2%)

prune169.0ms (3.8%)

simplify6.0ms (0.1%)

localize44.0ms (1%)

series2.0ms (0%)

simplify150.0ms (3.4%)

rewrite267.0ms (6%)

eval37.0ms (0.8%)

prune72.0ms (1.6%)

simplify5.0ms (0.1%)

localize42.0ms (1%)

series27.0ms (0.6%)

simplify143.0ms (3.2%)

rewrite475.0ms (10.7%)

eval225.0ms (5.1%)

prune38.0ms (0.9%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

simplify7.0ms (0.2%)

soundness343.0ms (7.7%)

preprocess21.0ms (0.5%)

end0.0ms (0%)

Profiling